Answer:
Samuel is correct i.e there are infinitely many solutions
Step-by-step explanation:
Given that Samuel and Hayden solved the system of equations –6x – 6y = –6 and 7x + 7y = 7. we have to find that whether the system of equations has infinitely many solutions or not.
A system of linear equations has infinite solutions if the graphs are the exact same line i.e the the equations are equivalent.
The first equation: –6x – 6y = –6 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1
The second equation: 7x + 7y = 7 ⇒ x+y=1 ⇒ y=-x+1
∴ the slope of its line is -1 and the y-intercept is 1.
Here, we get the equation which has the same slope and y-intercept as that of the first equation.
In other words, the two equations are represented by the same line. This implies that the lines intersect infinitely many times, or that the system has infinitely many solutions.
Hence, Samuel is correct.
Answer:
B. 2
Step-by-step explanation:
a1,1=1
a1,2=2
a1,3=3
a2,1=4
a2,2=5
a2,3=6
a3,1=7
a3,2=8
a3,3=9
A)
total of balls = 8+6+10= 24 balls
3/24= .125 and it is 12.5 % that one of the orange balls is 5 because it is an odd number.
B)
4/24 =.167 0r 16.7% that of the gray balls is numbered 8.
Answer:
The volume of the water in the pool is 1,017 cubic feet
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
we have
----> the radius is half the diameter
Remember that
so
To find out the height of the water, subtract 0.5 feet from the height of the swimming pool
assume
Find the volume of the water
I agree with Marita, that the angles could have the same measure. This can be proven if you set the two amounts equal and solve for x.
9x - 25 + x = x + 50 + 2x - 12
To begin, we should combine like terms on both sides of the equation to start simplifying the equation.
10x - 25 = 3x + 38
Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.
7x = 63
Finally, we should divide both sides by 7, to get rid of the coefficient of x.
x = 9
If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees. This means that Marita is correct, because if x = 9, then the angles would have the same measure.
